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ValentinkaMS [17]

3 years ago

14

Find the volume of pyramid with a triangular base. The triangle has a base of 5cm and a height of 14cm. The height of the pyrami

d is 15cm.

1 answer:

nikitadnepr [17]3 years ago

5 0

Step-by-step explanation:

$a \: = \frac{1}{2} \times 5 \times 4 \\ area \: \:of \: base = 10cm {}^{2} \\ volume \: = \frac{1}{3} \times a \: \times h \\ = \frac{1}{3} \times 10 \times 15 \\ = 50 cm {}^{2}$

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tamaranim1 [39]

Answer:

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Step-by-step explanation:

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3 years ago

It's an overcast day in Hayward and you're waiting for AC Transit 97 Bus Line to show up. Your weather app says there's a 30% ch

melomori [17]

Answer:

a

$P(r n L) = 0.12$

b

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c

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Step-by-step explanation:

The chance that it will rain is $P(r ) = 0.30$

The chance that it does not rain is $P(\= r ) = 1 - P(r )$

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The probability that the bus run late if it does not rain is $P(L | \= r) = 0.15$

Generally the probability that it will rain and the bus will be late is mathematically represented as

$P(r n L) = P(L | r) * P(r)$

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=> $P(r n L) = 0.12$

Generally the probability that the bus will be late is mathematically represented as

$P(L) = P(r) * P(L|r) + P(L | \= r) * P(\= r)$

=> $P(L) = 0.30 * 0.4 +0.15*0.70$

=> $P(L) = 0.225$

Generally given that the bus ran late, the probability that the bus it was not raining is mathematically represented as

$P(\= r | L) = 1- P(r | L )$

Here $P(r | L ) = \frac{P(r n L)}{P(L)}$

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So

$P(\= r | L) = 1- 0.533$

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